Two Surfaces in Space

Two Surfaces in Space
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2017-05-17 22:34
This example demonstrates the intersection and shape of two surfaces in three-dimensional space. Key math concepts include solid geometry, analytical geometry, function graphing, and surface analysis. Construction highlights involve using the Surface command to plot surfaces, Text objects for annotations, sliders (a, b, c, d) as parameters, a rotation object (dreh) for animation, and a button (Schaltfläche1) for interaction. Suitable for high school and above students studying spatial geometry, calculus, and CAD.

GeoGebra Commands & Parameters

  1. Surface((cos(u) * sin((2 * v))) + u / 2, (sin(u) * sin((2 * v))), sin(v), u, 0, π, v, (-π), π) → a
  2. LaTeX(a, true, true) → Text1
  3. Surface((cos(v)^(2) * sin((2 * u))), (sin(u) * sin((2 * v))), (cos(u) * sin((2 * v))), u, 0, (2 * π), v, ((-π)) / 2, π / 2) → c
  4. LaTeX(c, true, true) → Text2